To be honest, if you already know how programs/computers work, it wouldn't hurt to learn a bit of Biology :) How sequencing is done, what the output data contains at a theoretical level, what the major focuses of research are, those sort of things. All of the seqs and omics.

Alternatively, walk further in the opposite direction where everything is just some parameter of Bayesian model. A computer cant rationalize about assumed biology, so if you just want to do "big data analysis" one could argue that you don't need to either. Leave that to the biologists and brush up on the statistics.